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3 years ago

Triangle PQR IS SIMILAR TO Triangle KLM.

Mathematics

1 answer:

barxatty [35]3 years ago

5 0

D. 168 in.

15/72 = 35/168

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The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf

mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is $\frac{2}{3}$ .

Step-by-step explanation:

The given equation of ellipse is

$2x^2+xy+y^2=4$

Differentiate both sides with respect to x.

$\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)$

$\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)$

$4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0$

$(4x+y)+(x+2y)\frac{dy}{dx}=0$

$\frac{dy}{dx}=-\frac{4x+y}{x+2y}$

Calculate the value of \frac{dy}{dx} at (1,-2).

$\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}$

$\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}$

$\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}$

Therefore the slope of tangent at point (1,-2) is $\frac{2}{3}$ .

3 0

3 years ago

Read 2 more answers

Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?

azamat

Answer:

Step-by-step explanation:

165 divided by 8.25 is 20.

6 0

3 years ago

Read 2 more answers

What is the volume (in cubic feet) of the composite shape rounded to the nearest whole number?

Dmitriy789 [7]

Answer:

Peppa does not know

Step-by-step explanation:

5 0

3 years ago

What is the value of x

irga5000 [103]

Answer:

X=24

Step-by-step explanation:

1. (4x + 11) + (3x + 1) = 180 (Combine like terms)

2. 7x + 12 = 180 (Subtract 12 from both sides)

3. 7x = 168 (Divide both sides by 7)

4. x = 24

3 0

3 years ago

There are 18 bikes in a bike rack. There are 4 more blue bikes than yellow bikes,and 2 less yellow bikes than green bikes.how ma

Phoenix [80]

Y+4= x blue bikes
G-2= x yellow bikes

4y+4= 8 blue bikes
4y+2= 6 green bikes
4y= 4 yellow bikes

8 blue bikes
+
6 green bikes
+
4 yellow bikes
=
18 bikes total

5 0

3 years ago